If M is the product of all positive integers greater than 59 and less than 71, then what is the greatest integer n for which M/(6^n) is an integer?

Correct answer marked below

5

Correct

B

7

C

9

D

11

E

13

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What this question tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.

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